# Dana invested $10,000. Part of the money was invested at 10% and the remainder at 14%. The total yearly income from these investments was $1220. How much was invested at 14%?

##### 1 Answer

#### Explanation:

This was a fun one, thanks!

You will want to set up two equations for the scenarios and then isolate one of the terms to find the other. Good times!

Let

Let

We know that

Let's multiply the second line by .1 so that we can eliminate the

Subtract the second line from the first which leaves you with:

Multipliy both sides by 100 (to eliminate the decimals and solve for

Sub your

Now double check your work by subbing these values in to the second statement:

Voila!